3224876090436 has 1215 divisors, whose sum is σ = 11803950131883. Its totient is φ = 739579800960.

The previous prime is 3224876090369. The next prime is 3224876090477. The reversal of 3224876090436 is 6340906784223.

The square root of 3224876090436 is 1795794.

It is a perfect power (a square), and thus also a powerful number.

3224876090436 is a `hidden beast` number, since 3 + 2 + 24 + 8 + 7 + 609 + 0 + 4 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1598945076036 + 1625931014400 = 1264494^2 + 1275120^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 140212003921 + ... + 140212003943.

Almost surely, 2^{3224876090436} is an apocalyptic number.

3224876090436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3224876090436 is the 1795794-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3224876090436

3224876090436 is an abundant number, since it is smaller than the sum of its proper divisors (8579074041447).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3224876090436 is a wasteful number, since it uses less digits than its factorization.

3224876090436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 3224876090436 in words is "three trillion, two hundred twenty-four billion, eight hundred seventy-six million, ninety thousand, four hundred thirty-six".